Have you got a power supply to it? I cant see from the pictures. Theres no reason why you can’t install one in the wall to the left, but as stated it would need to be 60l/s (rather than 30l/s standard).
How would you duct it if you had a flush vent above it? Wouldn’t you have big boxing on your kitchen wall?
Where were you intending to duct it in the first place? Up through breast and accross between floor joists?